Abstract
An ideal and nonideal autoparametrical system excited by DC motor with unbalanced
mass is presented in this work. The system consists of the body of mass
An ideal and nonideal autoparametrical system excited by DC motor with unbalanced
mass is presented in this work. The system consists of the body of mass
A. K. Bajaj, S. I. Chang, and J. M. Johnson, “Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system,” Nonlinear Dynamics, vol. 5, no. 4, pp. 433–457, 1994.
View at: Publisher Site | Google ScholarA. K. Bajaj and J. M. Johnson, “Asymptotic techniques and complex dynamics in weakly nonlinear forced mechanical systems,” International Journal of Non-Linear Mechanics, vol. 25, no. 2-3, pp. 211–226, 1990.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetA. K. Bajaj and S. Tousi, “Torus doublings and chaotic amplitude modulations in a two-degree-of-freedom resonantly forced mechanical system,” International Journal of Non-Linear Mechanics, vol. 25, no. 6, pp. 625–641, 1990.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetG. L. Baker and J. P. Gollub, Chaotic dynamics: An Introduction, Cambridge University Press, Cambridge, 1996.
View at: Google Scholar | Zentralblatt MATH | MathSciNetJ. M. Balthazar, D. T. Mook, H. I. Weber, R. M. L. R. F. Brasil, A. Fenili, D. Belato, and J. L. P. Felix, “An overview on non-ideal vibrations,” Meccanica, vol. 38, no. 6, pp. 613–621, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATHD. Belato, J. M. Balthazar, H. I. Weber, and D. T. Mook, “On dynamical characteristics of the electromotor-pendulum,” in Nonlinear Dynamics, Chaos, Control and Their Applications to Engineering Sciences. Vol. 2: Vibrations with Measurements and Control, J. M. Balthazar, P. B. Gonçalvez, and J. Clayssen, Eds., vol. 2, pp. 222–235, Cruzeiro Editora e Artes Gráficas, Rio Claro, 1999.
View at: Google ScholarD. Belato, J. M. Balthazar, H. I. Weber, and D. T. Mook, “Chaotic vibrations of a nonideal electro-mechanical system,” International Journal of Solids and Structures, vol. 38, no. 10–13, pp. 1699–1706, 2001.
View at: Google Scholar | Zentralblatt MATHK. L. Cavalca, I. L. E. Santos, and J. M. Balthazar, “Analysis of combined effects of dry friction and non-linear restoring forces in rotors,” in Nonlinear Dynamics, Chaos, Control and Their Applications to Engineering Sciences. Vol. 2: Vibrations with Measurements and Control, J. M. Balthazar, P. B. Gonçalvez, and J. Clayssen, Eds., vol. 2, pp. 206–221, Cruzeiro Editora e Artes Gráficas, Rio Claro, 1999.
View at: Google ScholarR. M. Evan-Ivanowski, Resonance Oscillations in Mechanical Systems, Elsevier, Amsterdam, 1976.
View at: Google Scholar | Zentralblatt MATHA. Fenili, J. M. Balthazar, and D. T. Mook, “Some remarks on nonlinear and ideal or nonideal structure vibrating model,” in Proceedings of the 7th Conference on Dynamical Systems-Theory and Applications, J. Awrejcewicz, A. Owczarek, and J. Mrozowski, Eds., vol. 2, pp. 549–556, Łódź, 2003.
View at: Google ScholarH. Hatwal, A. K. Mallik, and A. Ghosh, “Forced nonlinear oscillations of an autoparametric system—part 2: chaotic responses,” Transactions of the ASME: Journal of Applied Mechanics, vol. 50, pp. 663–668, 1983.
View at: Google ScholarV. O. Kononenko, Vibrating Systems with Limited Power Supply, Illife Books, London, 1969.
View at: Google ScholarT. S. Krasnopol'skaya and A. Yu. Shvets, “Chaotic interactions in a pendulum energy source system,” Prikladnaya Mekhanika, vol. 26, no. 5, pp. 90–96, 1990.
View at: Google Scholar | Zentralblatt MATHF. C. Moon, Chaotic Vibrations, John Wiley & Sons, New York, 1987.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. H. Nayfeh and D. T. Mook, Nonlinear Oscillations, John Wiley & Sons, New York, 1979.
View at: Google Scholar | Zentralblatt MATH | MathSciNetL. Půst and O. Szöllös, “Forced irregular oscillations of the two degrees of freedom nonlinear system,” in Proceedings of the 2nd European Nonlinear Oscillation Conference (EUROMECH '96), pp. 367–370, Prague, 1996.
View at: Google ScholarD. Sado, “Periodic and chaotic oscillations of the autoparametric beam-pendulum system,” in Proceedings of the 3rd Biennal World Conference on Integrated Design and Process Technology (IDPT '98), vol. 6, pp. 206–213, Berlin, 1998.
View at: Google ScholarD. Sado, “Chaos in autoparametric coupled mechanical systems,” in Proceedings of the 10th World Congress on the Theory of Machines and Mechanisms (IFToMM '99), vol. 4, pp. 1638–1643, Oulu, 1999.
View at: Google ScholarD. Sado, “Chaotic behavior of beam-pendulum system with dry friction,” in Proceedings of the 5th Engineering Systems Design and Analysis Conference (ESDA '00), vol. 82, pp. 163–168, Montreux, 2000.
View at: Google ScholarD. Sado, “The chaotic phenomenon of a system with inertial coupling,” Mechanics and Mechanical Engineering, vol. 6, no. 1, pp. 31–42, 2002.
View at: Google ScholarD. Sado, “The dynamics of a coupled three degree of freedom mechanical system,” Mechanics and Mechanical Engineering, vol. 7, pp. 29–39, 2004.
View at: Google ScholarD. Sado and K. Gajos, “Note on chaos in three degree of freedom dynamical system with double pendulum,” Meccanica, vol. 38, no. 6, pp. 719–729, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATHD. Sado and M. Kot, “The chaotic vibration of an autoparametrical system with non ideal source of power,” in Proceedings of the 7th Conference on Dynamical Systems-Theory and Applications, J. Awrejcewicz, A. Owczarek, and J. Mrozowski, Eds., vol. 2, pp. 689–696, Łódź, 2003.
View at: Google ScholarD. Sado and M. Kot, “The periodic and chaotic vibration of an autoparametrical system with non ideal source of power,” to appear in Journal of Computational Methods in Sciences and Engineering.
View at: Google ScholarM. Tsuchida, K. de Lolo Guilherme, J. M. Balthazar, G. N. Silva, and B. I. Cheshankov, “On regular and irregular vibrations of a non-ideal system with two degrees of freedom. 1:1 resonance,” Journal of Sound and Vibration, vol. 260, no. 5, pp. 949–960, 2003.
View at: Publisher Site | Google ScholarJ. Warmiński, Regular and Chaotic Vibrations of Parametric and Self-Excited Systems with Ideal and Non-Ideal Energy Sources, Technical University of Lublin Press, Lublin, 2001.
View at: Google ScholarJ. Warmiński, J. M. Balthazar, and R. M. L. R. F. Brasil, “Vibrations of a non-ideal parametrically and self-excited model,” Journal of Sound and Vibration, vol. 245, no. 2, pp. 363–374, 2001.
View at: Google Scholar